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Finding the Third Proportional to 287,788 and 610,644

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Solution

The third proportional to 287,788 and 610,644 is: 1,295,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,788 : 610,644 = 610,644 : x
  2. Step 2: Convert to fraction form
    287,788/610,644 = 610,644/x
  3. Step 3: Cross multiply
    287,788x = 610,644 × 610,644
  4. Step 4: Simplify right side
    287,788x = 372,886,094,736
  5. Step 5: Solve for x
    x = 372,886,094,736/287,788
  6. Step 6: Final answer
    x = 1,295,697.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.